Abelian Ideals and Cohomology of Symplectic Type

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dc.creatorLuo, Li
dc.date2008-04-08
dc.date.accessioned2026-07-07T09:31:02Z
dc.date.available2026-07-07T09:31:02Z
dc.descriptionFor symplectic Lie algebras $\mathfrak{sp}(2n,\mathbb{C})$, denote by $\mathfrak{b}$ and $\mathfrak{n}$ its Borel subalgebra and maximal nilpotent subalgebra, respectively. We construct a relationship between the abelian ideals of $\mathfrak{b}$ and the cohomology of $\mathfrak{n}$ with trivial coefficients. By this relationship, we can enumerate the number of abelian ideals of $\mathfrak{b}$ with certain dimension via the Poincare polynomials of Weyl groups of type $A_{n-1}$ and $C_n$.
dc.description6 pages
dc.identifierhttps://arxiv.org/abs/0804.1264
dc.identifierhttp://arxiv.org/abs/0804.1264
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158324
dc.subjectRings and Algebras
dc.subjectQuantum Algebra
dc.titleAbelian Ideals and Cohomology of Symplectic Type
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